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Finding the Fourth Proportional to 767.52, 1,059.32 and 452.77

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Solution

The fourth proportional to 767.52, 1,059.32 and 452.77 is: 624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.52 : 1,059.32 = 452.77 : x
  2. Step 2: Convert to fraction form
    767.52/1,059.32 = 452.77/x
  3. Step 3: Cross multiply
    767.52x = 1,059.32 × 452.77
  4. Step 4: Simplify right side
    767.52x = 479,628.32
  5. Step 5: Solve for x
    x = 479,628.32/767.52
  6. Step 6: Final answer
    x = 624.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.